FBG-1 is a measurement-first morphology filter derived from iterative stability logic (Mandelbrot-style boundedness) and expressed as a finite shape grammar. It collapses infinite geometric possibilities into a small set of survivable primitives—nodes, filaments, branches, spirals, and nested copies—plus assembly rules that concentrate adaptation at boundaries while preserving calm interiors. The framework is used to guide design choices in boundary-dominant systems (e.g., passive fluid interfaces, modular habitat scaffolds, and adaptive infrastructure), where robustness depends on phase coherence under repeated forcing rather than on static optimal forms. Keywords Fractals; Mandelbrot set; morphology; shape grammar; boundary dynamics; resonance; iterative stability; scale invariance; phase coherence; attractors; self-organization; modular design; passive fluidics; ecological engineering; BioReef.

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Authors: Neil Clive Tuckwell
Cited by: 12

Abstract

FBG-1 is a measurement-first morphology filter derived from iterative stability logic (Mandelbrot-style boundedness) and expressed as a finite shape grammar. It collapses infinite geometric possibilities into a small set of survivable primitives—nodes, filaments, branches, spirals, and nested copies—plus assembly rules that concentrate adaptation at boundaries while preserving calm interiors. The framework is used to guide design choices in boundary-dominant systems (e.g., passive fluid interfaces, modular habitat scaffolds, and adaptive infrastructure), where robustness depends on phase coherence under repeated forcing rather than on static optimal forms. Keywords Fractals; Mandelbrot set; morphology; shape grammar; boundary dynamics; resonance; iterative stability; scale invariance; phase coherence; attractors; self-organization; modular design; passive fluidics; ecological engineering; BioReef.

Fields of Study & Subjects

Modular Robots and Swarm Intelligence Structural Analysis and Optimization Design Education and Practice

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 February 2026
Document type
Preprint